Answer:
[tex]\displaystyle x = \frac{25\sqrt{2}}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 45°
Adjacent Leg = 25
Hypotenuse = x
Step 2: Solve for x
Substitute in variables [cosine]: [tex]\displaystyle cos(45^\circ) = \frac{x}{25}[/tex][Multiplication Property of Equality] Multiply 25 on both sides: [tex]\displaystyle 25cos(45^\circ) = x[/tex]Rewrite: [tex]\displaystyle x = 25cos(45^\circ)[/tex]Evaluate: [tex]\displaystyle x = \frac{25\sqrt{2}}{2}[/tex]20+(5 + 7) = x - 14 I need help take your time
Answer: x = 46
Step-by-step explanation: 20 + (5 + 7) = x - 14, 20 + (12) = x - 14
Answer:
[tex]x=46[/tex]
Step-by-step explanation:
[tex]20 + (5+7)=x-14[/tex]
[tex]20+12=x-14[/tex]
[tex]32=x-14[/tex]
Take [tex]x-14[/tex] on the other side of the 'equal to' sign and 32 on the other side so that the variable remains on the right side
[tex]x-14=32\\[/tex]
[tex]x=32+14[/tex]
[tex]x=46[/tex]
2
The height in meters of a projectile involves the object's initial height,
upward velocity, and acceleration because of gravity. If the equation
y =- 9.8t + 109.7t + 7.4 models the number of meters, y, a toy rocket
is above the ground t seconds after being launched, what does the 7.4
represent?
Answer: Initial height before launch
Step-by-step explanation:
Given
The equation [tex]y=-9.8t+109.7t+7.4[/tex] the height of toy rocket after t sec
when the rocket is launched, time is [tex]t=0[/tex]
Substituting 0 for [tex]t[/tex] in the equation
[tex]\Rightarrow y(0)=-9.8(0)+109.7(0)+7.4\\\Rightarrow y(0)=7.4[/tex]
Here, [tex]7.4[/tex] represents that rocket is already at a height of [tex]7.4[/tex] m before the launch.
please answer for points
Answer:
4.9
Step-by-step explanation:
use this equation : [tex]a^2 + b^2 = c^2[/tex] (your hypotenuse is always going to be c)
[tex]7^2 - 5^2 = b^2[/tex]
[tex]49 - 25 = b^2\\[/tex]
[tex]24 = b^2[/tex]
[tex]\sqrt{24} = b[/tex]
[tex]4.9 = b[/tex]
How how how how how how answers plz
9514 1404 393
Answer:
a) 540°
b) 720°
c) 900°
d) 1440°
Step-by-step explanation:
The total measure of internal angles of a convex polygon is given by the formula ...
sum of angles = 180°(n -2) . . . . for an n-sided polygon
So, you count the sides, subtract 2, and multiply that result by 180°.
__
a) 180°(5 -2) = 540°
b) 180°(6 -2) = 720°
c) 180°(7 -2) = 900°
d) 180°(10 -2) = 1440°
You already know I really don’t have to explain myself
Answer:
D
Step-by-step explanation:
Find the value of x that makes ABCD a parallelogram.
D
с
X + 40°
70°
70°
X + 40°
А
B
O A. x = 40°
B. x = 50°
O c. x = 70°
O D. x = 30°
HELPPP MEEE PLSSS ASAPPPP !!!!!
The value of x that makes ABCD a parallelogram is C. x = 70°.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Given that ABCD is a parallelogram.
We know that opposite angles of a parallelogram are equal.
It is already given.
Also, adjacent angles of a parallelogram is equal to 180°.
So,
x + 40 + 70 = 180
x + 110 = 180
x = 180 - 110
x = 70
Hence the correct option is C. x = 70°.
To learn more about Parallelograms, click here :
https://brainly.com/question/11220936
#SPJ7
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2008, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2016, rounded to the nearest whole number.
Answer:
Step-by-step explanation:
If you don't know how to use your calculator to find a regression equation, that is much too much to try and teach you in a forum such as this (it takes all hour to teach Algebra 2 students during the school year and they are sitting in class watching a demonstration!). I entered the data in my calculator and got the equation to be
y = 18.9x + 850 with a correlation coefficient of only .8 so this is not a very good model for this data anyway. However, we will proceed with the question as it asks. Year 0 is 2008, so the year in question, 2016, is year 8. We fill in the model with 8 for x and solve for y, the cases in NY of crime in that year:
y = 18.9(8) + 850 and
y = 151.2 + 850 so
y = 1001 cases of crime
what is the value of x?
Answer:
12
Step-by-step explanation:
I NEED HELP PLEASE PLEASE IN ALGEBRA!
Answer:
what is question?
Step-by-step explanation:
On Sunday, the wind chill temperature reached −36 °F. On Monday, the wind chill temperature only reached 1 4 of Sunday's wind chill temperature. What was the lowest wind chill temperature on Monday? A −144 °F B −36 1 4 °F C −9 °F D −40 °F
Answer:
(A) -9 °F
Step-by-step explanation:
On Sunday, the wind chill temperature reached - 36 °F. On Monday, the wind chill
temperature only reached¼ of Sunday's wind chill temperature. What was the
lowest wind chill temperature on Monday? (A) -9 °F (B) -36¼°F (C) -40 °F (D) -144 °F
Sunday temperature = - 36 °F
Monday temperature = ¼ of Sunday's wind chill temperature
Monday = 1/4 of - 36 °F
= 1/4 * -36 °F
= (1 * -36)/4 °F
= -36/4 °F
= -9 °F
Monday temperature = -9 °F
The correct answer is (A) -9 °F
(35+4n)−(15+3n)
pls answer asap
Answer:
20 - n
Step-by-step explanation:
Subtract like-terms:
35 + 4n - 15 - 3n = 20 - n
Is (–9, 7) a solution to this system of inequalities?
x + y ≤ –7
7x − 4y > –4
Answer:
No
Step-by-step explanation:
[tex]7x-4y>-4[/tex]
[tex]7(-9)-4(7)>-4[/tex]
[tex](-63)-(28)>-4[/tex]
[tex](-91)>-4[/tex]
[tex](-9,7)[/tex] is not a solution to the system of inequality
Five children have heights of 138cm, 135cm, 140cm, 139cm, and 141cm.
What is the range of their heights?
Answer:
6 cm
Step-by-step explanation:
To find the range take the largest number and subtract the smallest number
The largest number is 141 and the smallest number is 135
141 - 135 = 6 cm
Can someone pls help I’ll mark brainliest
Answer:
I think it is the 5th one if im wrong i am sorry
Step-by-step explanation:
Answer:
E.
Step-by-step explanation:
Find the gradient of the following line
explain why n(n-1) must be an even number
n & n - 1 are two consecutive numbers which means one of is surely even and the other one is odd.
_______________________________
Suppose that n is an even number;
So we can right n like this :
n = 2t
Thus :
n - 1 = 2t - 1
_______________________________
n( n - 1 ) = 2t( 2t - 1 ) = 2 ( 2t^2 - t )
= 2 ( q ) = 2q
The number obtained is a multiple of 2, so it is definitely even because all numbers are even multiples of 2.
Hellppp please ill give brainlesst
Answer: I got this-- its me again.. It's D again- I explained this time tho-
Step-by-step explanation:
2 cm represents 100 miles, then 1 cm represents 50 miles and .5 cm represents 25 miles.
Town A = 175 miles from town B.
Town C = 100 miles from town B.
SO, Town A is 175 miles + 100 miles = 275 miles from town C.
The solid triangular prism shown below is made from metal . The prism is melted down and the metal is used to create a solid cube. Find the side length of the cube. For the triangle, the base is 9cm, Height is 4cm, and Length is 12cm.
Answer:
6 cm
Step-by-step explanation:
Given :
base is 9cm, Height is 4cm, and Length is 12cm.
Volume of triangular prism :
V = 1/2 * base * height * length
V = 1/2 * 9 * 4 * 12
V = 9 * 2 * 12
V = 216 cm³
Volume of a cube = a³
Where , a = side length
If 216cm³ is melted to form a cube
Then ;
a = 216^1/3
a = 6 cm
A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of
wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.
Answer:
He will have to cut off 1.25 inches.
Step-by-step explanation:
Take 5% of 5 inches
0.05(5)=0.25 inches
5 inches - 0.25 inches= 4.75 inches
4.75 inches is how wide the wood is after it shrinks.
Find how much he needs to cut off
4.75 inches - 3.5 inches=1.25 inches
He will need to cut off 1.25 inches in order for the block to fit exactly.
Explain how
you know you would use sine, cosine or tangent to
solve this. Explain thorougly
C
X
10
B В
Answer:
To solve for x, I would use Cosine.
This is because cosine holds the ratio of adjacent/hypotenuse. Based on the diagram, we can see that HYPOTENUSE = x, so we are solving for x. We know the angle, is 17 degrees. Lastly, we know the triangle leg ADJACENT to the angle is 10 units long. So we would use cosine, implementing the ratio adjacent/hypotenuse. Solving this, we would use cos(17)=10/x. Then our goal is to isolate x, so cos(17)=10/x becomes cos(17)*x=10, we are still trying to isolate x, so, x=10/cos(17). Therefore, our answer x = 10.457 units. cosine would be the best way to go.
Step-by-step explanation:
The diameter of a circle is 2 inches. What is the circle's circumfere
Use 3.14 for u.
PLS HELP!!!
Answer:
[tex]6.28\:\mathrm{in}[/tex]
Step-by-step explanation:
The circumference of a circle is given by [tex]C=2r\pi[/tex], where [tex]r[/tex] is the radius of the circle. Since all radii of a circle are exactly half the length of all diameters of a circle, if the diameter is 2 inches, we know the radius is 1 inch.
Therefore, we have:
[tex]C=2(1)\pi=2\cdot 1\cdot 3.14=\boxed{6.28\:\mathrm{in}}[/tex]
Answer:
6.28in or 6.3in
Step-by-step explanation:
All I did was multiply pie by diameter or multiply it by its radius, which is 1.
C = 2(3.14)(1)
= 6.28
or
C = (3.14)(2)
= 6.28
Kiran’s aunt is 17 years older than Kiran. How old will Kiran’s aunt be when Kiran is 15 years old?
Answer:
32
Step-by-step explanation:
15+17=32
...........
Answer:
32
Explanation:
All you have to do it add 17 to 15, since the aunt is 17 more years older than kiran.
plz answer will give brainliest
Answer:
She will need 21.3 total wire.
Answer:
21.26 ft
Step-by-step explanation:
For calculating, you need to use the Pythagorean theorem:
length of one cable = [tex]\sqrt{7^2+8^2}[/tex]= 10,63 ft
length of two cable = 10,63*2 = 21,26 ft
Using the graph above, find out how much money miguel saves per month (his unit rate of dollars saved per month).
write your answer. here:____ dollars saved per month
Answer:
15
Step-by-step explanation:
To find the unit rate you divide.
• the points that is in bold is ( 2, 30) from that information you would see what times 2 gives me 30.
• 30/2 =15
• unit rate= 15
If two-point charges, 2000 meters apart, have charge values of 40 C and -40 C, respectively, what is the value of the mutual force between them? (Coulomb's constant = 9.0 x 109 N•m2/C2).
Answer:
The value of the mutual force between them is 3.6 x 10⁶ N
Step-by-step explanation:
Given;
distance between the two-point charges, r = 2000 m
the value of the two-point charges, q₁ and q₂ = 40 C and -40 C
Coulomb's constant, k = 9 x 10⁹ Nm²/C²
The value of the mutual force between them is calculated by applying Coulomb's law;
[tex]F = \frac{K|q_1|q_2|}{r^2} \\\\F = \frac{(9 \times 10^9)(40\times 40)}{(2000)^2} \\\\F = 3.6 \times 10^6 \ N[/tex]
Therefore, the value of the mutual force between them is 3.6 x 10⁶ N.
(Max Points) Do not answer if you’re not 100% sure. I’ll report if wrong.
Answer:
B. 3/7 + 3r = 1Step-by-step explanation:
Job can be determines as:
Job = time*rateWe have:
Time 3 hours and Rates 1/7 and rSum of the parts completed by both Rocco and Giulia gives the job, which is considered as a whole or 1:
1 = 3(1/7 + r)1 = 3/7 + 3ror
3/7 + 3r = 1Correct choice is B
Help plz math question. EXPLAIN HOW YOU GOT THE ANSWER. 30 PTS btw thx if u help
Answer:
256
Step-by-step explanation:
4^4^4 = 4^(4^4) = 4^256
so written in base 4, there will be 256 zeroes after a 1.
This translates to approximately 154 digits in decimal.
Just like 2^2^2 = 2^4
there will be four zeroes after a 1.
2^2^2=2^(2^2) = 2^4 = 16 = 10000 (16 in base 2).
pls help me
In Charlee's closet she has the following uniform shirts: 2 white, 1 yellow, 2 green, and 3 blue. If she chooses a shirt at random, what is the probability the shirt will be blue?
Answer:
because she wants to reduce from the amount of it amd wants to use it much so she would have blue is not that much!
I don't know exactly but that is my suggestion
Answer:
The answer would be 3/8.
A school uses the function p(t)=t2−20t+175 to model the profit (in dollars) expected in a weekend when the tickets are sold at a certain price, t, to the school musical go on sale a. Write an equation to find out the prices at which the school would earn $100 in profit from the school musical each weekend. b. Find out at what prices the tickets should be sold at to make a $100 profit each weekend. SHOW ALL WORK.
Answer:
[tex](a)\ t^2 - 20t + 75= 0[/tex]
[tex](b)[/tex] [tex]t = 5; t -=15[/tex]
Step-by-step explanation:
Given
[tex]p(t) = t^2 - 20t + 175[/tex]
Solving (a): Equation when profit = 100.
This implies that:
[tex]p(t) =100[/tex]
So, we have:
[tex]100 = t^2 - 20t + 175[/tex]
Rewrite as:
[tex]t^2 - 20t + 175 - 100 = 0[/tex]
[tex]t^2 - 20t + 75= 0[/tex]
Solving (b): Calculate t, in (a)
In a, we have:
[tex]t^2 - 20t + 75= 0[/tex]
Expand
[tex]t^2 - 15t -5t + 75= 0[/tex]
Factorize
[tex]t(t - 15) -5(t - 15)= 0[/tex]
Factor out t - 15
[tex](t - 5)(t - 15)= 0[/tex]
Split
[tex]t - 5 = 0; t - 15 =0[/tex]
Solve
[tex]t = 5; t -=15[/tex]
The prices are $5 and $15, respectively
Find the 8th term of the arithmetic sequence - 2x + 7,4x + 1, 10x – 5, ...
Answer:
Step-by-step explanation:
a1 = -2x + 7
d = 4x + 1 - (-2x + 7)
d = 4x + 1 + 2x - 7
d = 6x - 6
n = 8
a8 = -2x + 7 + (n-1)*d
a8 = -2x + 7 + (8 -1 ) * (6x - 6)
a8 = -2x + 7 + 7 * (6x - 6)
a8 = -2x + 7 + 42x - 42
a8 = 40x - 35